If a base is negative, how will you know whether the answer is positive or negative before evaluating it?

Answers

Answer 1

Answer: Whether the answer is positive or negative depends on whether the exponent is odd or even. An odd exponent results in a negative value. An even exponent results in a positive value.

Answer 2

Answer:

Answer:

Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.

Step-by-step explanation:

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What is square root of 76 approximated to the nearest tenth?Is it 8?
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in a survey if 27.5 percent of those questioned chose swimming as their favorite. If 11 people chose swimming then how many people were surveyed
Subtract and simplify10/w -1/3

Need help
-1/2 + (3/4X4/9)=

Answers

Answer:

$-(1)/(6)$

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

$-(1)/(2) +((3)/(4) *(4)/(9) )$

P goes first

$(3)/(4) *(4)/(9)$

Solve:

$3*4=12$

$4*9=36$

$=(12)/(36)$

Reduce:

$12/6=2$

$36/6=6$

$2/2=1$

$6/2=3$

$=(1)/(3)$

$-(1)/(2) +(1)/(3)=(-1*3)/(2*3) +(1*2)/(3*2) =-(1)/(6)$

$=-(1)/(6)$

Hope this helps.

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

HAVE A GOOD DAY!

Joe has a rectangular chicken coop. The length of the coop is 4 feet less than twice the width. The area of the chicken coop is 510 square feet. What is the length of the chicken coup? PLEASE HELP ME!!!

Answers

Let w and l be the dimensions (width and length, respectively) of the coop.

We know that the length of the coop is 4 feet less than twice the width, which means that

$l=2w-4$

Also, the area is 510, but the area is the product of the dimensions, so we have

$lw=510$

Plug the expression for l in the formula for the area:

$lw=(2w-4)w=510 \iff 2w^2-4w-510=0$

We can divide the whole expression by 2 and solve it with the quadratic formula:

$w^2-2w-255=0 \iff w=(2\pm√(4+1020))/(2)=(2\pm 32)/(2)=1\pm 16$

So, the two solutions are

$w_1=1-16=-15,\quad w_2=1+16=17$

The negative solution makes no sense (we can't have negative lengths), so the width must be 17.

We conclude that the length is

$l=2w-4=2\cdot 17-4=34-4=30$

Final answer:

The length of the chicken coup is found to be 30.689 feet by setting up and solving a quadratic equation for the area of the rectangle.

Explanation:

To find the length of the chicken coop, we need to use the given information. Let's first define the width of the coop as 'w'. According to the problem, the length of the coop is 4 feet less than twice the width. So, the length can be represented as 2w - 4. The area of a rectangle is given by length multiplied by width. Hence, we have the equation (2w - 4)w = 510. Solving this equation will give us the width and length of the chicken coop.

Expanding the equation, we have 2 $w^2$ - 4w = 510. Rearranging it to the standard quadratic form, we get 2 $w^2$ - 4w - 510 = 0. To solve this quadratic equation, we can either use factoring, completing the square, or the quadratic formula. Factoring doesn't seem to work in this case, so let's use the quadratic formula: w = (-b ± sqrt( $b^2$ - 4ac)) / (2a). Substituting the values a = 2, b = -4, and c = -510 into the formula, we can find the values of w. Taking into account the physical context, we can discard the negative value. Once we have the value of w, we can substitute it into the equation for the length, 2w - 4, to find the length of the chicken coop.

So, the width of the chicken coop is approximately 17.355 feet and the length is approximately 30.689 feet.

Learn more about finding the length of a rectangular chicken coop here:

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Graph each quadratic function
Y=x to the power of 2+4x-4

Answers

Does this help? Or does it need to be more specific?

y = x² + 4x - 4
x² + 4x - 4 = 0
x = -(4) +/- √((4)² - 4(1)(-4))
2(1)
x = -4 +/- √(16 + 16)
2
x = -4 +/- √(32)
2
x = -4 +/- 4√(2)
2
x = -2 + 2√(2)
x = -2 + 2√(2) x = -2 - 2√(2)
y = x² + 4x - 4
y = (-2 + 2√(2))² + 4(-2 + 2√(2)) - 4
y = (4 - 4√(2) + 8) + (-8 + 8√(2)) - 4
y = 4 + 8 - 8 - 4 - 4√(2) + 8√(2)
y = 4√(2)
(x, y) = (-2 + 2√(2), 4√(2))
or
y = x² + 4x - 4
y = (-2 - 2√(2))² + 4(-2 - 2√(2)) - 4
y = (4 + 4√(2) + 8) + (-8 - 8√(2)) - 4
y = 4 + 8 - 8 - 4 + 4√(2) - 8√(2)
y = -4√(2)
(x, y) = (-2 - 2√(2), -4√(2))

Two angle measures in a scalene triangle are 77° and 62°. What is the measure of the third angle? 41°
61°
77°
221°

Answers

Two angle measures in a scalene triangle are 77° and 62°. The measure of the third angle is 41°.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The angle is the degree of rotation that it will take for the moving side to go from the initial side to the position it is currently on.

The total measure of the inner angles of a shape;

(n-2) x 180°

where n is the number of sides.

$(3-2)180\n1 * 180$

180° is the total measure of the inner angles.

To put that as an equation;

180° = 77° + 62° + x°

x = 41°

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The total measure of the inner angles of a shape is determined by the expression;
(n-2)*180° where n is the number of sides.
(3-2)180°
1*180°
180° is the total measure of the inner angles.
To put that as an equation;
180° = 77° + 62° + x°
x = 41°

An experiment requires that each student use an 8.5 cm length of magnesium ribbon. How many students can do the experiment if there is a 570 cm length of magnesium ribbon available?

Answers

Just divide 570 cm by 8.5 cm to get number of students.

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters: (x − 4)(3x − 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

Answers

You have to foil. Times the first two: x(3x). Then times the outer two: x(-1). Then times the inner two: -4(3x). Finally, times the last two: -4(-1). Your equation would be 3x squared - 1x - 12x + 4. Therefore, the simplified answer is 3x^2 (3x to the second power) - 13x + 4.

Answer:

Simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

Step-by-step explanation:

A conference room is in the shape of a rectangle.

Its floor has a length of (x − 4) meters and a width of (3x − 1) meters.

we know that Area of rectangle=Length×Breath

Area of floor of the room=(x-4)(3x-1)

(x-4)(3x-1)=x(3x-1)-4(3x-1) (Distributive property)

= 3x²-x-12x+4 (Distributive property)

= 3x²-13x+4 (On combining the like terms)

Hence, simplified expressions which represents the area of the floor of the conference room in square meters is: